Information on Result #936787
Linear OOA(8173, 174, F81, 2, 63) (dual of [(174, 2), 275, 64]-NRT-code), using construction X applied to AG(2;F,278P) ⊂ AG(2;F,282P) based on
- linear OOA(8170, 171, F81, 2, 63) (dual of [(171, 2), 272, 64]-NRT-code), using algebraic-geometric NRT-code AG(2;F,278P) [i] based on function field F/F81 with g(F) = 7 and N(F) ≥ 172, using
- linear OOA(8166, 171, F81, 2, 59) (dual of [(171, 2), 276, 60]-NRT-code), using algebraic-geometric NRT-code AG(2;F,282P) [i] based on function field F/F81 with g(F) = 7 and N(F) ≥ 172 (see above)
- linear OOA(813, 3, F81, 2, 3) (dual of [(3, 2), 3, 4]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(813, 81, F81, 2, 3) (dual of [(81, 2), 159, 4]-NRT-code), using
- Reed–Solomon NRT-code RS(2;159,81) [i]
- discarding factors / shortening the dual code based on linear OOA(813, 81, F81, 2, 3) (dual of [(81, 2), 159, 4]-NRT-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(9146, 348, F9, 2, 63) (dual of [(348, 2), 550, 64]-NRT-code) | [i] | Trace Code for OOAs | |
| 2 | Linear OOA(8173, 87, F81, 4, 63) (dual of [(87, 4), 275, 64]-NRT-code) | [i] | OOA Folding | |